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Finding the Third Proportional to 198,308 and 302,109

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Solution

The third proportional to 198,308 and 302,109 is: 460,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,308 : 302,109 = 302,109 : x
  2. Step 2: Convert to fraction form
    198,308/302,109 = 302,109/x
  3. Step 3: Cross multiply
    198,308x = 302,109 × 302,109
  4. Step 4: Simplify right side
    198,308x = 91,269,847,881
  5. Step 5: Solve for x
    x = 91,269,847,881/198,308
  6. Step 6: Final answer
    x = 460,242.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.